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2434133431 = 471011812833
BaseRepresentation
bin1001000100010101…
…1110110110110111
320021122020210100001
42101011132312313
514441114232211
61041311532131
7114214535632
oct22105366667
96248223301
102434133431
11103a006524
1257b22a047
132ca3aa152
141913c6c19
15e3a69ac1
hex9115edb7

2434133431 has 16 divisors (see below), whose sum is σ = 2525298048. Its totient is φ = 2344896000.

The previous prime is 2434133413. The next prime is 2434133459. The reversal of 2434133431 is 1343314342.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2434133431 is a prime.

It is a super-4 number, since 4×24341334314 (a number of 39 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2434133431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2434133411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 857791 + ... + 860623.

It is an arithmetic number, because the mean of its divisors is an integer number (157831128).

Almost surely, 22434133431 is an apocalyptic number.

2434133431 is a deficient number, since it is larger than the sum of its proper divisors (91164617).

2434133431 is a wasteful number, since it uses less digits than its factorization.

2434133431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3162.

The product of its digits is 10368, while the sum is 28.

The square root of 2434133431 is about 49336.9377951247. The cubic root of 2434133431 is about 1345.1832792900.

Adding to 2434133431 its reverse (1343314342), we get a palindrome (3777447773).

The spelling of 2434133431 in words is "two billion, four hundred thirty-four million, one hundred thirty-three thousand, four hundred thirty-one".

Divisors: 1 47 101 181 2833 4747 8507 18281 133151 286133 512773 859207 13448251 24100331 51790073 2434133431